Controller design with constraint on control input and output for T-S fuzzy systems with nonlinear local model

Abstract

In this paper, a recently proposed fuzzy controller with nonlinear local models is extended to consider the constraint control input and output. Unlike the well-known Takagi-Sugeno fuzzy systems this model consists of sector bounded nonlinear terms in consequent part of each rules which decrease the number of needed rules for representing the nonlinear system. As a direct result of this reduction, a fuzzy controller with less computational burden can be designed. The control input and the output constraint criteria for such a system are obtained in terms of LMIs and the effectiveness of the controller is investigated for an inverted pendulum.